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Questions
42,963
Question Cluster Subtype Difficulty Status

Vikram and Vinay started a business and they invested Rs. 12000 and 14000 respectively. After one year the difference between their profits is Rs 600. Find the total profit.

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Partnership Profit Sharing Problems intermediate live

The average weight of fifteen boxes is 60 kg. Three boxes of weight 30 kg, 35 kg, and 32 kg were removed and two new boxes of average weight 43 kg were included. What is the difference in the average weights of the boxes after replacement?

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Average Weight and Height Calculations intermediate live

Gourav, Kamal, and Sunil started a business with an investment of Rs 30,000, Rs 40,000, and Rs 50,000 respectively. Kamal and Sunil withdraw Rs 20,000 and Rs 25,000, respectively, at the end of the first year. If the business earned them a profit of Rs 44,20,000 after 2 years then, what will be the profit of Sunil at the end of the second year?

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Partnership Profit Sharing Problems intermediate live

There are two containers A and B. A fills with 6 litre milk at Rs. 48 per litre and B fills with 21 litre soda-water. If we mixed milk and soda-water together and sold at Rs. 62 per litre at without any profit or loss, then find the price of soda-water per litre.

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Alligation and Mixture Problems intermediate live

The speed of the current is 8 km/hour. Two boats A and B go upstream with the speed of 80 km/hour and 98 km/hour respectively. If boat A starts first and after 1 hour B will start then, find the time when both boats A and B will meet.

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Boat and Stream Speed Problems intermediate live

2 partners Uttam and Yuvraj invested Rs. 72000 and Rs. 80000 respectively in a business. They took the salary of Rs. 12000 and Rs. 10000 per month respectively out of the profit. If the profit at the end of the year was Rs. 340000 then how much was received by Yuvraj after deducting the salaries?

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Partnership Profit Sharing Problems intermediate live

A container contains a mixture of two liquids, milk and water in the ratio 3 : 1. When 9 liters of the mixture is replaced by 9 liters of water, the ratio becomes 3 : 4. Find the initial quantity of milk.

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Mixtures and Alligations intermediate live

Raman and Rohit started a business with investments of 12000 and 15000 respectively in the year 2021. After one year they incurred a loss of rupees 50000. And in the year 2014, they got a profit of rupees 90000. Find the share of Rohit at the end.

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Partnership Profit Sharing Problems intermediate live

The ratio of two positive numbers is 3 : 5 and the average of the numbers is 48. What is the difference between the numbers?

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Ratio and Proportion Word Problems intermediate live

There are some people who live in a colony, the weight of the people during 8 months are as following

  Jan Feb Mar Apr May Jun Jul Aug
Weight 9652 6532 7562 8624 9520 7554 9633 8987

Find the average of the people for each month

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Average Weight and Height Calculations intermediate live

The average of a nonzero number and its square is 5 times the number. Find the cube of the number.

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Prime Numbers and Number Properties intermediate live

A and B two pipes are attached with a cistern. A can empty the full cistern in 126 minutes and B can fill the empty cistern in 1 hour. If both tap are opened for empty cistern at 8 pm, then what time clock says at the time of full.

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Pipes and Cisterns Problems intermediate live

Two persons P and Q start a business with their initial capital Rs. 4000 and Rs. 5000 respectively. After 3 years Q left the business and another person R joins with initial capital Rs. 6000. If after 2 more years, person P also left the business, then at the end of 6 years from the start, difference between profit share of Q and R is what per cent of difference between profit share of P and Q?

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Partnership Profit Sharing Problems intermediate live

The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. Find the highest and lowest score of the player.

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Cricket-Based Average Calculations intermediate live

200 ml honey is added in some quantity of milk. If another mixture of equal volume having ratio of honey and milk 4 : 11 is mixed in the first mixture then ratio of honey and milk in the final mixture becomes 1 : 4. What is the quantity of milk in first mixture?

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Mixtures and Alligations intermediate live

A bowler took a total of 132 wickets in his first ‘N’ matches. The average wickets per match taken by the bowler in his next 15 matches is 4.4 and this improves his average by 0.125. What is the value of N?

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Cricket-Based Average Calculations intermediate live

Three friends Ashish, Alok and Akash started a business with the investment of Rs. 45000, Rs.50000 and Rs.55000  respectively. If the total profit at the end of the 8 months is Rs.45000, then what is the ratio of the profit of Ashish and Alok after 8 months?

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Partnership Profit Sharing Problems intermediate live

The average of twelve consecutive odd integers is 30. What is the sum of the digits of 1st and the last number of these 12 consecutive numbers?

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Prime Numbers and Number Properties intermediate live

In a class there were 12 students. Two students left the class and 4 new students joined. If the average age decreased by 4 years and the total age decreased by 2 years, then find the new average age of the class.

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Average Age Problems intermediate live

Two people, Amit and Vimal bought a 3 BHK apartment on rent for 1.5 years at Rs. 270000 for the whole duration. If Shubham joined them after two months, what would be the total rent Shubham will be paying to them for staying till the end of the 1.5-year contract?

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Partnership Profit Sharing Problems intermediate live

Two trains A and B, go to Ranchi to Patna and Patna to Ranchi respectively. Train A takes 4 hours and 48 minutes to reach Patna and train B takes 3 hours and 20 minutes to reach Ranchi after crossing each other. If the speed of train A is 45 km/hour then, find the speed of train B.

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Relative Speed and Meeting Time Problems intermediate live

Mary and John started a business. Mary invests Rs. 5000 for 16 months and John invests Rs. 6000 for 20 months. If they earned a profit of Rs. 4510 then find the share of Mary.

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Partnership Profit Sharing Problems intermediate live

Two friends Sonu and Ritesh start a business with an investment of Rs. 3600 and Rs. 5600 respectively. After 5 months two more friends Jayant and Akash join them with an investment of Rs. 6000 and Rs. 3600. If the profit is Rs. 4440 at the end of the year then find the profit earned by Ritesh and Akash together.

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Partnership Profit Sharing Problems intermediate live

In a laptop store, average number of HP, Dell and Lenovo laptops sold per month is 340. Average number of Lenovo laptops sold per day in a month is 13 and that of HP is 9. Find total number of Dell laptops sold in the month.

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Data Interpretation and Graph Analysis intermediate live

10 men can complete a piece of work in 24 days, and 6 women can complete the same piece of work in 40 days. 5 men and 18 women work together for 10 days to complete double the earlier work, if only women were to complete the remaining work in 5 days, then total how many women would be required?

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Work Efficiency and Time Calculation intermediate live

The ratio of efficiencies of 2 inlet pipes P and Q is 11 : 8. Pipe P with an outlet pipe R can fill the tank in 16 hours while Pipe Q with outlet pipe R can fill the tank in 35.2 hours. Find the time in which P and Q together can fill the tank.

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Pipes and Cisterns Problems intermediate live

The ratio of spirit and water in two vessels is 7 : 3 and 2 : 3 respectively, in what ratio should the spirit and water be mixed so that the ratio of spirit and water in the new mixture becomes 3 : 2.

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Mixtures and Alligations intermediate live

The average age of 27 professors in a college is 42 years. 3 professors retire from the college at the age of 60 years and 4 new joined whose average age is 31 years. Calculate the average age of the professors now.

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Average Age Problems intermediate live

Vikash started a business with Satya and the initial investment by Vikash is Rs. 500 more than the initial investment of Satya. After 8 months, Satya invested Rs. 4000 more and Vikash withdrew Rs. 3000. At the end of one year, they received total profit of Rs. 19600 in which share of Vikash is Rs. 880 less than Satya's. What is initial investment of Satya?

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Partnership Profit Sharing Problems intermediate live

A, B and C together can complete a piece of work in 6 days while A and C together can finish the same work in 12 days. A, B and C started working and after 4 days, B left the work and D joined. If the work got completed in 7 days then find the time taken by D (in days) alone to complete the work with the same efficiency.

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Time and Work Problems intermediate live

There are 3 friends Ram, Bhola, and Sona and they work together in a company. The efficiency of Ram is 4/3 of the efficiency of Bhola and the efficiency of Bhola is 3/2 of the efficiency of Sona. If they completed work in 8 days then, find in how many days Sona can complete the work alone.

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Time and Work Problems intermediate live

Two busses Royal Bus and Madhaw Bus have a speed of 70 km/hour and 74 km/hour respectively. Find the total time when both crossed each other the length of the Royal Bus is 30 m and 26 m. The distance between them is 540 m both are in opposite direction.

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Train Problems - Time Speed Distance intermediate live

3 pipes P, Q and R together fill a tank in 10 hours. If the ratio of efficiencies of P and Q is 5 : 7 and P and Q together take 35/3 hours to fill the tank then find the time in which R will fill the tank alone.

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Pipes and Cisterns Problems intermediate live

There are two taps A and B in a tank. They can fill the tank in 8 min and 12 min respectively. If both taps are opened together and tap B works with half efficiency, then find time in which the tank will be filled completely.

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Pipes and Cisterns Problems intermediate live

Rakesh can travel 150 km in 10 hours. If he covers some distance by car with a speed of 20 km/hour and the remaining distance by cycle with a speed of 12 km/hour. Find the distance that he travels by cycle.

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Speed, Distance and Time Calculations intermediate live

Average age of a group of 36 students is 28 years. If the average age of 24 students in the group is 31 years, then find the average of the remaining students in the group.

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Average Age Problems intermediate live

A printing press has 2 printers, One ink printer and one laser printer. Laser printer can print 1 page in 30 seconds while ink printer can print 1 page in 45 seconds. If there are 850 pages to be printed and both printers are to work in parallel, how much time the printing would take?

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Time and Work Problems intermediate live

The speed of two trains, X and Y is 60 km/h and 72 km/h, respectively and they are running in opposite direction. They cross each other in 24 seconds. Find the time taken by train X to cross a pole, if the ratio of the lengths of train X to Y is 5 : 6.

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Train Problems - Time Speed Distance intermediate live

The average age of A, B, and C, four years ago was 38 years. If the ratio of the present age of A and B is 7 : 5 respectively, and the age of C is 30 years, then find the present age of A.

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Age Problems with Ratios intermediate live

Two trains A and B are running towards each other such that the destination of train A is the starting point of train B and vice-versa. They meet each other after 1.6 hours. If train A which is running at a speed of 90 km/hour, reaches its destination 1.066 hours after meeting B, find the time taken by train B to complete its journey.

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Relative Speed and Meeting Time Problems intermediate live

If they are joined by E such that with E they can complete the work in (X - 0.8 days), and E alone can complete the work in Y days, then find the value of 5Y/X.

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Time and Work Problems intermediate live

Raghav and Pawan started a business by investing Rs. 40000 and Rs, 65000 respectively for 3 years. In between, their friend Sumit also invested Rs. 90000 for some time. The total profit from the business after 3 years was Rs 2,40,000 and Sumit got Rs. 30000 as his profit share. For how much time did Sumit invest in the business?

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Partnership Profit Sharing Problems intermediate live

Vedant and Gaurav start a business by investing a certain amount in the ratio 7 : 11. Vedant invests for 8 months and Gaurav invests for 5 months. At the end of the term, Vedant's share of profit is what percent more than that of Gaurav?

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Partnership Profit Sharing Problems percentage intermediate live

P and Q starts a business with Rs. 15000 and Rs. 24000 respectively. After 4 months R also joins the business with Rs. 18000. At the end of the year, the earned profit has been shared after donating 15% of total profit to charity. If Q got Rs. 1800 then find the total profit.

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Partnership Profit Sharing Problems intermediate live

The average ages of students of class A and B are 11 and 13 respectively. If the number of students of class A is thrice the number of students of class B then what is the average age of all the students of both the classes?

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Average Age Problems intermediate live

The average weight of 6 people is increased by 3 kg when a person who has a weight of 30 kg, is replaced by another new person. Find the weight of the new person.

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Average Weight and Height Calculations intermediate live

The average age of A, B, C, D and E is 40.2 years. The average age of A and B is 34.5 years and the average age of C and D is 41.5 years. Find the age of E.

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Age Problems with Ratios intermediate live

A, B and C started a business by investing Rs. 30000, Rs. 40000 and Rs. 25000 respectively. A withdraws 1/3 of the money after 5 months and he left the business after 8 months from the start. If the profit share of A out of the total profit earned in a year is Rs. 17500 then find the profit shares of B and C.

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Partnership Profit Sharing Problems intermediate live

There are two boats A and B participating in a boat race. Both boats started the race from different points and started moving toward each other. The speed of boat A in still water is 5 km/hour and going downstream, and boat B in still water is 7 km/hour and it is going upstream. The speed of the current is 2 km/hour. Find the distance between them if both meet each other in 9 seconds.

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Boat and Stream Speed Problems intermediate live

The number of passengers traveling in another bus E is equal to the average number of passengers traveling in bus A and C. If the ratio of male passengers to female passengers in bus E is 9 : 8, then find the number of male passengers in bus E.

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Data Interpretation from Charts and Graphs intermediate live
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